Denis S. Krotov

ORCID

Publication Activity (10 Years)

Years Active: 2001-2024
Publications (10 Years): 74

Top Venues

CoRR

Discret. Math.

IEEE Trans. Inf. Theory

Des. Codes Cryptogr.

Publications

Denis S. Krotov, Alexandr Valyuzhenich
On degree-3 and (n - 4)-correlation-immune perfect colorings of n-cubes. Discret. Math. 347 (10) (2024)
Denis S. Krotov
The classification of orthogonal arrays OA(2048,14,2,7) and some completely regular codes. Discret. Math. 347 (5) (2024)
Denis S. Krotov, Vladimir N. Potapov
An upper bound on the number of frequency hypercubes. Discret. Math. 347 (1) (2024)
Denis S. Krotov
On the existence of some completely regular codes in Hamming graphs. CoRR (2023)
Denis S. Krotov
The classification of orthogonal arrays OA(2048, 14, 2, 7) and some completely regular codes. CoRR (2023)
Denis S. Krotov, Ivan Yu. Mogilnykh
Multispreads. CoRR (2023)
Minjia Shi, Yaya Li, Wei Cheng, Dean Crnkovis, Denis S. Krotov, Patrick Solé
Self-Dual Hadamard Bent Sequences. J. Syst. Sci. Complex. 36 (2) (2023)
Minjia Shi, Xiaoxiao Li, Denis S. Krotov, Ferruh Özbudak
Quasi-Cyclic Perfect Codes in Doob Graphs and Special Partitions of Galois Rings. IEEE Trans. Inf. Theory 69 (9) (2023)
Denis S. Krotov, Alexandr Valyuzhenich
On degree-3 and (n-4)-correlation-immune perfect colorings of n-cubes. CoRR (2023)
Denis S. Krotov
Projective tilings and full-rank perfect codes. Des. Codes Cryptogr. 91 (10) (2023)
Minjia Shi, Denis S. Krotov
An enumeration of 1-perfect ternary codes. Discret. Math. 346 (7) (2023)
Minjia Shi, Yuhong Xia, Denis S. Krotov
A family of diameter perfect constant-weight codes from Steiner systems. J. Comb. Theory, Ser. A 200 (2023)
Denis S. Krotov
Perfect Colorings of the Infinite Square Grid: Coverings and Twin Colors. Electron. J. Comb. 30 (2) (2023)
Minjia Shi, Xiaoxiao Li, Denis S. Krotov, Ferruh Özbudak
Quasi-cyclic perfect codes in Doob graphs and special partitions of Galois rings. CoRR (2023)
Minjia Shi, Yaya Li, Wei Cheng, Dean Crnkovic, Denis S. Krotov, Patrick Solé
Self-dual bent sequences for complex Hadamard matrices. Des. Codes Cryptogr. 91 (4) (2023)
Minjia Shi, Denis S. Krotov, Patrick Solé
On the coset graph construction of distance-regular graphs. Discret. Math. 345 (11) (2022)
Denis S. Krotov
Projective tilings and full-rank perfect codes. CoRR (2022)
Minjia Shi, Yuhong Xia, Denis S. Krotov
A family of diameter perfect constant-weight codes from Steiner systems. CoRR (2022)
Minjia Shi, Yaya Li, Wei Cheng, Dean S. Crnkovic, Denis S. Krotov, Patrick Solé
Self-dual Hadamard bent sequences. CoRR (2022)
Minjia Shi, Denis S. Krotov, Patrick Solé
On the coset graph construction of distance-regular graphs. CoRR (2022)
Minjia Shi, Denis S. Krotov, Ferruh Özbudak
Constructing MRD codes by switching. CoRR (2022)
Denis S. Krotov, Vladimir N. Potapov
An upper bound on the number of frequency hypercubes. CoRR (2022)
Denis S. Krotov
Multifold 1-perfect codes. CoRR (2022)
Minjia Shi, Rongsheng Wu, Denis S. Krotov
On q-Ary Shortened-1-Perfect-Like Codes. IEEE Trans. Inf. Theory 68 (11) (2022)
Minjia Shi, Denis S. Krotov
An enumeration of 1-perfect ternary codes. CoRR (2021)
Minjia Shi, Rongsheng Wu, Denis S. Krotov
On q-ary shortened-1-perfect-like codes. CoRR (2021)
Denis S. Krotov, Vladimir N. Potapov
On Multifold Packings of Radius-1 Balls in Hamming Graphs. IEEE Trans. Inf. Theory 67 (6) (2021)
Denis S. Krotov
On the OA(1536, 13, 2, 7) and related orthogonal arrays. Discret. Math. 343 (2) (2020)
Denis S. Krotov
The Existence of Perfect Codes in Doob Graphs. IEEE Trans. Inf. Theory 66 (3) (2020)
Evgeny Bespalov, Denis S. Krotov
On extended 1-perfect bitrades. CoRR (2020)
Denis S. Krotov
On minimal subspace Zp-null designs. CoRR (2020)
Denis S. Krotov
[[2, 10], [6, 6]]-equitable partitions of the 12-cube. CoRR (2020)
Minjia Shi, Denis S. Krotov, Patrick Solé
A New Approach to the Kasami Codes of Type 2. IEEE Trans. Inf. Theory 66 (4) (2020)
Minjia Shi, Li Xu, Denis S. Krotov
On the number of resolvable Steiner triple systems of small 3-rank. Des. Codes Cryptogr. 88 (6) (2020)
Ebrahim Ghorbani, Sara Kamali, Gholamreza B. Khosrovshahi, Denis S. Krotov
On the Volumes and Affine Types of Trades. Electron. J. Comb. 27 (1) (2020)
Y. Guan, Minjia Shi, Denis S. Krotov
Steiner Triple Systems of Order 21 with a Transversal Subdesign TD(3, 6). Probl. Inf. Transm. 56 (1) (2020)
Minjia Shi, Shukai Wang, Xiaoxiao Li, Denis S. Krotov
(4;2, 2). CoRR (2020)
Denis S. Krotov, Konstantin V. Vorob'ev
On Unbalanced Boolean Functions with Best Correlation Immunity. Electron. J. Comb. 27 (1) (2020)
Minjia Shi, Rongsheng Wu, Denis S. Krotov
On $Z_p Z_{p^k}$ -Additive Codes and Their Duality. IEEE Trans. Inf. Theory 65 (6) (2019)
Denis S. Krotov
On $(2n/3-1)$-resilient $(n, 2)$-functions. CoRR (2019)
Minjia Shi, Denis S. Krotov, Patrick Solé
Correction to: A new distance-regular graph of diameter 3 on 1024 vertices. Des. Codes Cryptogr. 87 (9) (2019)
Denis S. Krotov, Vladimir N. Potapov
On two-fold packings of radius-1 balls in Hamming graphs. CoRR (2019)
Minjia Shi, Daitao Huang, Denis S. Krotov
Additive perfect codes in Doob graphs. Des. Codes Cryptogr. 87 (8) (2019)
Yue Guan, Minjia Shi, Denis S. Krotov
The Steiner triple systems of order 21 with a transversal subdesign TD(3, 6). CoRR (2019)
Denis S. Krotov
On the orthogonal arrays of parameters OA(1536, 13, 2, 7) and related. CoRR (2019)
Denis S. Krotov, Vladimir N. Potapov
On the Cardinality Spectrum and the Number of Latin Bitrades of Order 3. Probl. Inf. Transm. 55 (4) (2019)
Denis S. Krotov, Vladimir N. Potapov
On two-fold packings of radius-1 balls in Hamming graphs. ISIT (2019)
Denis S. Krotov
On (2n/3 - 1)-Resilient (n, 2)-Functions. ISIT (2019)
Denis S. Krotov
On Dual Codes in the Doob Schemes. ISIT (2019)
Denis S. Krotov, Evgeny V. Gorkunov, Vladimir N. Potapov
On the number of autotopies of an n-ary qusigroup of order 4. CoRR (2019)
Denis S. Krotov
On dual codes in the Doob schemes. CoRR (2019)
Minjia Shi, Li Xu, Denis S. Krotov
On the number of resolvable Steiner triple systems of small 3-rank. CoRR (2019)
Minjia Shi, Denis S. Krotov, Patrick Solé
A new distance-regular graph of diameter 3 on 1024 vertices. Des. Codes Cryptogr. 87 (9) (2019)
Denis S. Krotov, Patrick Solé
The punctured Dodecacode is uniformly packed. ISIT (2019)
Minjia Shi, Denis S. Krotov, Patrick Solé
A new approach to the Kasami codes of type 2. CoRR (2018)
Denis S. Krotov
The existence of perfect codes in Doob graphs. CoRR (2018)
Denis S. Krotov, Evgeny Bespalov
Distance-2 MDS Codes and Latin Colorings in the Doob Graphs. Graphs Comb. 34 (5) (2018)
Minjia Shi, Denis S. Krotov, Patrick Solé
A new distance-regular graph of diameter 3 on 1024 vertices. CoRR (2018)
Minjia Shi, Rongsheng Wu, Denis S. Krotov
-additive codes and their duality. CoRR (2018)
Denis S. Krotov
On the gaps of the spectrum of volumes of trades. CoRR (2018)
Minjia Shi, Daitao Huang, Denis S. Krotov
Additive perfect codes in Doob graphs. CoRR (2018)
Denis S. Krotov, Ivan Yu. Mogilnykh, Anastasia Yu. Vasil'eva
On completely regular codes of covering radius 1 in the halved hypercubes. CoRR (2018)
Denis S. Krotov
-linear 1-perfect and Preparata-like codes. Des. Codes Cryptogr. 83 (1) (2017)
Evgeny Bespalov, Denis S. Krotov
Erratum to: "MDS codes in Doob graphs". Probl. Inf. Transm. 53 (3) (2017)
Evgeny Bespalov, Denis S. Krotov
MDS codes in Doob graphs. Probl. Inf. Transm. 53 (2) (2017)
Denis S. Krotov
The minimum volume of subspace trades. Discret. Math. 340 (12) (2017)
Denis S. Krotov
The extended 1-perfect trades in small hypercubes. Discret. Math. 340 (10) (2017)
Denis S. Krotov, Vladimir N. Potapov
Constructions of transitive latin hypercubes. Eur. J. Comb. 54 (2016)
Denis S. Krotov, Patric R. J. Östergård, Olli Pottonen
Non-existence of a ternary constant weight (16, 5, 15;2048) diameter perfect code. Adv. Math. Commun. 10 (2) (2016)
Denis S. Krotov, Ivan Yu. Mogilnykh, Vladimir N. Potapov
To the theory of q-ary Steiner and other-type trades. Discret. Math. 339 (3) (2016)
Denis S. Krotov, Anastasia Yu. Vasil'eva
On perfect codes that do not contain Preparata-like codes. Probl. Inf. Transm. 52 (3) (2016)
Denis S. Krotov
On the Automorphism Groups of the Z2Z4-Linear 1-Perfect and Preparata-Like Codes. CoRR (2016)
Denis S. Krotov
Perfect codes in Doob graphs. Des. Codes Cryptogr. 80 (1) (2016)
Denis S. Krotov
On the number of maximum independent sets in Doob graphs. CoRR (2016)
Evgeny Bespalov, Denis S. Krotov
MDS codes in the Doob graphs. CoRR (2015)
Denis S. Krotov
The minimum volume of subspace trades. CoRR (2015)
Denis S. Krotov, Evgeniya V. Sotnikova
Embedding in q-ary 1-perfect codes and partitions. Discret. Math. 338 (11) (2015)
Denis S. Krotov, Evgeny Bespalov
Distance-2 MDS codes and latin colorings in the Doob graphs. CoRR (2015)
Janne I. Kokkala, Denis S. Krotov, Patric R. J. Östergård
On the Classification of MDS Codes. IEEE Trans. Inf. Theory 61 (12) (2015)
Denis S. Krotov, Anastasia Yu. Vasil'eva
On 1-perfect codes that do not include Preparata codes. CoRR (2015)
Denis S. Krotov, Mercè Villanueva
-Linear Hadamard Codes and Their Automorphism Groups. IEEE Trans. Inf. Theory 61 (2) (2015)
Denis S. Krotov, Mercè Villanueva
Classification of the Z2Z4-Linear Hadamard Codes and Their Automorphism Groups. CoRR (2014)
Denis S. Krotov, Evgeniya V. Sotnikova
Embedding in $q$-ary $1$-perfect codes and partitions. CoRR (2014)
Janne I. Kokkala, Denis S. Krotov, Patric R. J. Östergård
Classification of MDS Codes over Small Alphabets. ICMCTA (2014)
Janne I. Kokkala, Denis S. Krotov, Patric R. J. Östergård
On the Classification of MDS Codes. CoRR (2014)
Denis S. Krotov, Mercè Villanueva
On the Automorphism Groups of the $\mathbb{Z}_{2}\mathbb{Z}_{4}$-Linear Hadamard Codes and Their Classification. ICMCTA (2014)
Denis S. Krotov
Perfect codes in Doob graphs. CoRR (2014)
Denis S. Krotov, Vladimir N. Potapov
Propelinear 1-Perfect Codes From Quadratic Functions. IEEE Trans. Inf. Theory 60 (4) (2014)
Denis S. Krotov, Patric R. J. Östergård, Olli Pottonen
Non-existence of a ternary constant weight $(16, 5, 15; 2048)$ diameter perfect code. CoRR (2014)
Denis S. Krotov, Vladimir N. Potapov
Construction of transitive MDS codes CoRR (2013)
Denis S. Krotov
On calculation of the interweight distribution of an equitable partition CoRR (2013)
Denis S. Krotov, Vladimir N. Potapov
Transitive 1-perfect codes from quadratic functions CoRR (2013)
Denis S. Krotov
On the binary codes with parameters of triply-shortened 1-perfect codes. Des. Codes Cryptogr. 64 (3) (2012)
Denis S. Krotov
A partition of the hypercube into cosets of maximally nonparallel Hamming codes CoRR (2012)
Denis S. Krotov, Patric R. J. Östergård, Olli Pottonen
-3. IEEE Trans. Inf. Theory 57 (10) (2011)
Denis S. Krotov
On the binary codes with parameters of triply-shortened 1-perfect codes CoRR (2011)
Denis S. Krotov, Patric R. J. Östergård, Olli Pottonen
On Optimal Binary One-Error-Correcting Codes of Lengths $2^m-4$ and $2^m-3$ CoRR (2011)
Denis S. Krotov, Vladimir N. Potapov
On connection between reducibility of an n-ary quasigroup and that of its retracts. Discret. Math. 311 (1) (2011)
Olof Heden, Denis S. Krotov
On the structure of non-full-rank perfect q-ary codes. Adv. Math. Commun. 5 (2) (2011)
Denis S. Krotov
On weight distributions of perfect colorings and completely regular codes. Des. Codes Cryptogr. 61 (3) (2011)

Denis S. Krotov.css-eqlu8i{font-size:small;padding-left:4px;}

Publication Activity (10 Years)

Top Topics

Top Venues

Denis S. Krotov